Publication Manual of the American Psychological Association by 
The Chicago Manual of Style, 17th Edition by Chicago Manual of Style also offers an Author-Date style citation. The library's guide and the listed resources focus on the Note-Bibliography style in which citations appear in the form of footnotes or endnotes.
MLA Handbook by 
Scientific Style and Format by NOTE: Make sure to use the handbook that your faculty have instructed you to use as there is a substantial change between the 2019 and the 2021 editions.